Study of degenerate derangement polynomials by λ-umbral calculus

• Autorzy: Yun Sang Jo , Park Jin-Woo

Identyfikatory

DOI

10.1515/dema-2022-0240

• Języki publikacji: EN

Abstrakty

EN

In the 1970s, Rota began to build completely rigid foundations for the theory of umbral calculus based on relatively modern ideas of linear functions and linear operators. Since then, umbral calculus has been used in the study of special functions in various fields. In this article, we derive some new and interesting identities related to degenerate derangement polynomials and some special polynomials by using λ-Sheffer sequences and λ-umbral calculus, which are defined by Kim-Kim (Degenerate Sheffer sequences and λ-Sheffer sequences, J. Math. Anal. Appl. 493 (2021), 124521, 21pp).

Słowa kluczowe

EN

degenerate derangement numbers and polynomials; special polynomials; λ-umbral calculus

PL

wielomiany; funkcje specjalne; rachunek umbralny

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220240
• Opis fizyczny: Bibliogr. 36 poz.

Twórcy

autor

Yun Sang Jo

• Department of Information Science and Mathematics, Dong-A University, Busan 604-714, Republic of Korea

autor

Park Jin-Woo

• Department of Mathematics Education, Daegu University, Gyeongsan 38453, Republic of Korea

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).